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Finding the Fourth Proportional to 4,406.53, 6,607.70 and 2,558.21

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Solution

The fourth proportional to 4,406.53, 6,607.70 and 2,558.21 is: 3,836.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,406.53 : 6,607.70 = 2,558.21 : x
  2. Step 2: Convert to fraction form
    4,406.53/6,607.70 = 2,558.21/x
  3. Step 3: Cross multiply
    4,406.53x = 6,607.70 × 2,558.21
  4. Step 4: Simplify right side
    4,406.53x = 16,903,884.22
  5. Step 5: Solve for x
    x = 16,903,884.22/4,406.53
  6. Step 6: Final answer
    x = 3,836.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.